Hopf algebras, coproducts and symbols: an application to Higgs boson amplitudes

A bstract We show how the Hopf algebra structure of multiple polylogarithms can be used to simplify complicated expressions for multi-loop amplitudes in perturbative quantum field theory and we argue that, unlike the recently popularized symbol-based approach, the coproduct incorporates information...

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Bibliographic Details
Published in:The journal of high energy physics 2012-08, Vol.2012 (8), Article 43
Main Author: Duhr, Claude
Format: Article
Language:English
Subjects:
Amplitudes
Classical and Quantum Gravitation
Elementary Particles
Field theory
Gluons
Helicity
Higgs bosons
High energy physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Quarks
Relativity Theory
String Theory
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Summary:A bstract We show how the Hopf algebra structure of multiple polylogarithms can be used to simplify complicated expressions for multi-loop amplitudes in perturbative quantum field theory and we argue that, unlike the recently popularized symbol-based approach, the coproduct incorporates information about the ζ values. We illustrate our approach by rewriting the two-loop helicity amplitudes for a Higgs boson plus three gluons in a simplified and compact form involving only classical polylogarithms.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2012)043